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Finding the Fourth Proportional to 284,000.82, 391,922.46 and 156,676.38

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Solution

The fourth proportional to 284,000.82, 391,922.46 and 156,676.38 is: 216,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,000.82 : 391,922.46 = 156,676.38 : x
  2. Step 2: Convert to fraction form
    284,000.82/391,922.46 = 156,676.38/x
  3. Step 3: Cross multiply
    284,000.82x = 391,922.46 × 156,676.38
  4. Step 4: Simplify right side
    284,000.82x = 61,404,992,273.49
  5. Step 5: Solve for x
    x = 61,404,992,273.49/284,000.82
  6. Step 6: Final answer
    x = 216,214.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.